Question

PLEASE HELP WITH GEOMETRY WILL GIVE BRAINLIEST

Answer 1

Answer:

Option D

Step-by-step explanation:

In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles

The Rule says

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.

Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.

Example

in first option we can apply Sine Rule as

$\frac{\sin 84}{x}=\frac{\sin 63}{3}$

$\frac{0.994}{x}=\frac{0.891}{3}$

$x=\frac{0.991 \times 3}{0.891}$

$x=\frac{2.973}{0.891}$

$x=3.336$